\begin{table}%t2
%\begin{center}
\par
\caption {The ``$\chi^2$ Championship'' for M~31.} \label{tab:m31m}
\begin{tiny}
\begin{tabular}{c|ccc|cccc|cccc} \hline\hline
Template $\rightarrow$ & \multicolumn{3}{|c|}{ASS} &
\multicolumn{4}{|c|}{BSS} & \multicolumn{4}{|c}{QSS} \\
  model $\downarrow$  & $p'$ & $B'$ & $\chi^2$ & $p'$ & $\phi_0'$ & $B'$ & $\chi^2$  & $p'$ & $\phi_0'$ & $B'$ & $\chi^2$
 \\ \hline
  {ASS} & {20~$\pm$~1} & {5.0~$\pm$~0.2} & {\bf  1.3~$\pm$~0.6} & {14~$\pm$~1} & {128~$\pm$~4} & {8.8~$\pm$~0.5} & {84~$\pm$~7} & 
   {62~$\pm$~6} & {--5~$\pm$~3} & {4.2~$\pm$~0.2} & {71~$\pm$~10} \\
 {BSS} & {0~$\pm$~58} & {0.0~$\pm$~0.1} & {76~$\pm$~8} & {20~$\pm$~1} & {0~$\pm$~3} & {5.0~$\pm$~0.2} & {\bf  1.4~$\pm$~0.6} & 
   {15~$\pm$~2} & {11~$\pm$~35} & {9.1~$\pm$~0.9} & {34~$\pm$~5} \\
 {QSS} & {--2~$\pm$~31} & {0.4~$\pm$~0.2} & {14~$\pm$~3} & {19~$\pm$~11} & {--122~$\pm$~77} & {3.7~$\pm$~3.5} & {9~$\pm$~2} &
   {20~$\pm$~1} & {0~$\pm$~3} & {5.1~$\pm$~0.5} & {\bf  1.5~$\pm$~0.5} \\ 
 {ASS+BSS} & {30~$\pm$~5} & {1.5~$\pm$~0.2} & {13~$\pm$~2} & {14~$\pm$~1} & {165~$\pm$~4} & {4.8~$\pm$~0.5} & {20~$\pm$~3} &
   {58~$\pm$~8} & {--10~$\pm$~31} & {1.9~$\pm$~0.4} & {13~$\pm$~2} \\
 {ASS+QSS} & {20~$\pm$~3} & {2.6~$\pm$~0.2} & {4.8~$\pm$~1.4} & {14~$\pm$~1} & {123~$\pm$~17} & {4.7~$\pm$~0.4} & {25~$\pm$~4} &
   {58~$\pm$~19} & {--6~$\pm$~10} & {2.5~$\pm$~1.4} & {24~$\pm$~4}
\\   \hline
\end{tabular}
\par
\begin{tabular}{c|ccccc|ccccc} \hline
Template $\rightarrow$ & \multicolumn{5}{|c|}{ASS+BSS} & \multicolumn{5}{|c}{ASS+QSS} \\
  model $\downarrow$ & $p'$ & $q'$ & $\phi_0'$ & $B'$ & $\chi^2$  & $p'$ & $q'$ & $\phi_0'$ & $B'$ & $\chi^2$
   \\ \hline
 {ASS} & {20~$\pm$~1} & {0.9~$\pm$~0.1} & {15~$\pm$~112} & {5.6~$\pm$~0.3} & {\bf  1.7~$\pm$~0.8} & {20~$\pm$~1} & {0.9~$\pm$~0.1} & 
   {5~$\pm$~58} & {5.6~$\pm$~0.3} & {\bf  1.8~$\pm$~0.7} \\ 
 {BSS} & {20~$\pm$~1} & {0.0~$\pm$~0.1} & {0~$\pm$~5} & {5.0~$\pm$~0.3} & {\bf  1.9~$\pm$~0.9} & {15~$\pm$~2} & {0~$\pm$~0.1} & {7~$\pm$~39} 
   & {9~$\pm$~1} & {43~$\pm$~5} \\
 {QSS} & {14~$\pm$~13} & {0.0~$\pm$~0.1} & {--121~$\pm$~82} & {5.2~$\pm$~3.9} & {11.4~$\pm$~2.5} & {20~$\pm$~1} & {0.0~$\pm$~0.1} &
   {0~$\pm$~1} & {5.1~$\pm$~0.6} & {\bf  1.5~$\pm$~0.5} \\ 
 {ASS+BSS} & {20~$\pm$~2} & {0.5~$\pm$~0.1} & {5~$\pm$~27} & {5.0~$\pm$~0.3} & {\bf  1.5~$\pm$~0.7} & {25~$\pm$~5} & {0.4~$\pm$~0.1} &
   {0~$\pm$~12} & {4.4~$\pm$~1.5} & {8~$\pm$~2} \\
 {ASS+QSS} & {20~$\pm$~4} & {0.7~$\pm$~0.1} & {83~$\pm$~125} & {3.7~$\pm$~1.2} & {4.2~$\pm$~1.7} & {20~$\pm$~1} & {0.5~$\pm$~0.1} &
   {2~$\pm$~13} & {5.1~$\pm$~0.6} & {\bf  1.5~$\pm$~0.5} 
\\   \hline
\end{tabular}
\end{tiny}
%\end{center}
\par
%\medskip
{Parameters of fitted pitch angles $p'$ and field amplitudes $B'$,
azimuthal phases $\phi_0'$, and $\chi^2$ of the best fit for
different model fields (first column), recognized by a template
(first row) based on the existing sample of 22 sources in the M~31
area. Models with $\chi^2>2.7$  are rejected at the
98\% significance level.}
\end{table}